Abstract
Whenever F is a Henselian valued field whose residue class field [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] has characteristic different from 2, a theorem of Springer completely reduces the quadratic form theory of F to the quadratic form theory of [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="02i" /] and the structure of the value group. This paper presents analogues of this result in the case where F is a maximally complete field of characteristic 2. Two different results are given: the first determines the Witt group and the second classifies the anisotropic quadratic forms.
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